Partial dynamical symmetry

Y. Alhassid*, A. Leviatan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

75 Scopus citations


A novel type of symmetry structure, which the authors call 'partial dynamical symmetry', is discussed. A general algorithm is presented to construct Hamiltonians with such symmetry, for any semisimple group. These Hamiltonians are not invariant under that group, and various irreducible representations are mixed in their eigenstates. However, they possess a subset of eigenstates which do have good symmetry and can therefore be labelled by the irreducible representations of that group. The eigenvalues and wavefunctions of these states are given in closed form. An example of a Hamiltonian with a partial SU(3) symmetry is provided.

Original languageAmerican English
Article number001
Pages (from-to)L1265-L1271
JournalJournal of Physics A: General Physics
Issue number23
StatePublished - 1992
Externally publishedYes


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